Timeline for Are there such a complete metric space X of weight k (w(X)=k) and ....?
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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Apr 5, 2022 at 3:13 | vote | accept | Alexander Osipov | ||
Apr 4, 2022 at 18:08 | answer | added | Will Brian | timeline score: 4 | |
Apr 4, 2022 at 16:34 | comment | added | Ramiro de la Vega | @KPHart, note that if $\kappa=\aleph_0$ then the answer is no, regardless of the size of the continuum, since then $X\setminus \bigcup F_\alpha$ is completely metrizable and therefore it is either countable or has size continuum. | |
Apr 4, 2022 at 16:30 | comment | added | KP Hart | Not if the Continuum Hypothesis holds. The $k=\aleph_0$ and there is no cardinality between $\aleph_0$ and $\mathfrak{c}$. | |
Apr 4, 2022 at 15:18 | history | asked | Alexander Osipov | CC BY-SA 4.0 |